Hello,

Find all the eigenvalues and determine with a reason whether L is self-adjoint.

$\displaystyle d/dt$---------->$\displaystyle L_2[0,1]$ where the domain D is given by D{f belongs to $\displaystyle L_2[0,1]$: f is continuously differentiable and f(0)=0)}

I get $\displaystyle f(x)=e^{\lambda x}$ after solving first order linear differential equation. How do i find $\displaystyle \lambda$?

thanks